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Discrete Dynamics in Nature and Society 
Volume 2006 (2006), Article ID 37264, 5 pages
doi:10.1155/DDNS/2006/37264

A short proof of the Cushing-Henson conjecture

Stevo Stević

Mathematical Institute of the Serbian Academy of Science, Knez Mihailova 35/I, Beograd 11000, Serbia

Received 8 June 2006; Revised 21 September 2006; Accepted 27 September 2006

Abstract

We give a short proof of the Cushing-Henson conjecture concerning Beverton-Holt difference equation, which is important in theoretical ecology. The main result shows that a periodic environment is always deleterious for populations modeled by the Beverton-Holt difference equation.